....Evaluate.........

Mathematics

1 answer:

JulijaS [17]3 years ago

8 0

Therefore, third option is the right answer for this question

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In quadrilateral ABDC, AB ∥ CD. Which additional piece of information is needed to determine that ABDC is a parallelogram? AB ≅

siniylev [52]

For any quadrilateral to be a parallelogram

i) either both the pairs of opposite sides must be equal

ii) Both the pairs of opposite sides must be parallel

iii) Opposite pairs of angles must be equal

iv) Diagonals must bisect each other.

v) A pair of opposite sides must be parallel and equal

Here we are already given that AB || CD

So either we should be given that AD || BC

or we must be given that AB = CD

Here it is given AB = CD as an option.

So Option A) or the first option is the right answer that AB ≅CD is needed to prove ABCD is a parallelogram.

7 0

4 years ago

Read 2 more answers

The Highly Improbable Foods Company makes vegetarian versions of burgers, hot dogs, and chicken wings, and they offer two platte

choli [55]

Answer:

$1020

Step-by-step explanation:

Let x and y represent the numbers of Platter A and Platter B the organizer needs to purchase, respectively. The given conditions can be summarized as ...

x + 2y ≥ 80 . . . . . . 80 or more hamburgers are required

3x + y ≥ 95 . . . . . . 95 or more hot dogs are required

5x +8y ≥ 380 . . . . 380 or more chicken wings are required

16x +20y = c . . . . . c must be minimized

It is useful to graph these inequalities, and look for the vertex of the feasible region that is closest to the origin. That vertex is (x, y) = (20, 35). The other vertex that is close to the origin is (60, 10). The cost of that order would be $1310.

The value of an order of 20 Platter A and 35 Platter B is ...

20×$16 +35×$20 = $320 +700 = $1020

The minimum cost of the picnic food is $1020.